Nonequilibrium Relaxation and Odd-Even Effect in Finite-Temperature Electron Gases
arXiv:2405.03635 · doi:10.1103/ly37-5gdw
Abstract
Pauli blocking in Fermi liquids imposes strong phase-space constraints on quasiparticle lifetimes, leading to a well-known quadratic-in-temperature decay rate of quasiparticle modes at low temperatures. In two-dimensional systems, however, even longer-lived modes are predicted (dubbed ``odd-parity'' modes) that involve a collective deformation of the Fermi distribution. Here, we present an efficient method to evaluate the full spectrum of relaxational eigenmodes of a Fermi liquid within kinetic theory. We employ this method to study the experimentally relevant case of a Fermi liquid with screened Coulomb interactions and map out the decay rates of quasiparticle modes beyond the asymptotic low-temperature limit up to the Fermi temperature, thus covering the entire temperature range of typical experiments. We confirm the existence of anomalously long-lived odd-parity modes and provide a comprehensive classification and detailed analysis of the relaxation spectrum. In particular, we find that (i) the odd-parity effect in the decay rates extends to temperatures as large as , (ii) there is only a small number of long-lived odd-parity modes, with an infinite number of remaining modes that show standard Fermi-liquid scaling, and (iii) the ratio between the odd- and even-parity lifetimes is tunable with the Coulomb interaction strength, in addition to temperature, which reflects a difference in the microscopic relaxation mechanism of the modes. Our findings provide a comprehensive description of the nonequilibrium relaxation behavior of two-dimensional electron gases and bridge a significant gap in our understanding of these systems.
17 pages, 10 figures
References in corpus (35)
- Cuba - a library for multidimensional numerical integration
- Negative local resistance caused by viscous electron backflow in graphene
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
- Evidence for hydrodynamic electron flow in PdCoO
- Superballistic flow of viscous electron fluid through graphene constrictions
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
- Fluidity Onset in Graphene
- Universal Aspects of Coulomb Frustrated Phase Separation
- Scanning Gate Microscopy in a Viscous Electron Fluid
- Viscous electron flow in mesoscopic two-dimensional electron gas
- Electron-hole collision limited transport in charge-neutral bilayer graphene
- Why does graphene behave as a weakly interacting system?
- Anomalous dynamical scaling from nematic and U(1)-gauge field fluctuations in two dimensional metals
- Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
- Imaging Hydrodynamic Electrons Flowing Without Landauer-Sharvin Resistance
- Observation of current whirlpools in graphene at room temperature
- Tomographic Dynamics and Scale-Dependent Viscosity in Two-Dimensional Electron Systems
- Viscosity of two-dimensional electrons
- Many-body effects and ultraviolet renormalization in three-dimensional Dirac materials
- The Hierarchy of Excitation Lifetimes in Two-Dimensional Fermi Gases
- A short introduction to Generalized Hydrodynamics
- Collective modes in interacting two-dimensional tomographic Fermi liquids
- Heat Bath Approach to Landau Damping and Pomeranchuk Quantum Critical Points
- Superballistic electron flow through a point contact in a Ga[Al]As heterostructure
- Anomalously long lifetimes in two-dimensional Fermi liquids
- Lévy flights and hydrodynamic superdiffusion on the Dirac cone of Graphene
- Non-local hydrodynamic transport and collective excitations in Dirac fluids
- Interaction dominated transport and Coulomb drag in bilayer graphene
- Collinear scattering and long-lived excitations in two-dimensional electron fluids
- Superballistic conduction in hydrodynamic antidot graphene superlattices
- Spin-valley collective modes of the electron liquid in graphene
- Testing the tomographic Fermi liquid hypothesis with high-order cyclotron resonance
- Magnetic field suppression of tomographic electron transport
- Nonlinear thermoelectric probes of anomalous electron lifetimes in topological Fermi liquids